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12854798640 = 24325113157999
BaseRepresentation
bin10111111100011010…
…01010100100110000
31020011212120102122100
423332031022210300
5202311312024030
65523322540400
7633360662025
oct137615124460
936155512570
1012854798640
1154a7220532
1225a9067700
13129b293038
1489d36d54c
1550381e360
hex2fe34a930

12854798640 has 120 divisors (see below), whose sum is σ = 43553016000. Its totient is φ = 3397588992.

The previous prime is 12854798633. The next prime is 12854798641. The reversal of 12854798640 is 4689745821.

It is a happy number.

12854798640 is a `hidden beast` number, since 1 + 2 + 8 + 547 + 98 + 6 + 4 + 0 = 666.

12854798640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (12854798641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2361 + ... + 160359.

It is an arithmetic number, because the mean of its divisors is an integer number (362941800).

Almost surely, 212854798640 is an apocalyptic number.

12854798640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12854798640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21776508000).

12854798640 is an abundant number, since it is smaller than the sum of its proper divisors (30698217360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12854798640 is a wasteful number, since it uses less digits than its factorization.

12854798640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158131 (or 158122 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12854798640 in words is "twelve billion, eight hundred fifty-four million, seven hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 240 339 360 452 565 678 720 904 1017 1130 1356 1695 1808 2034 2260 2712 3390 4068 4520 5085 5424 6780 8136 9040 10170 13560 16272 20340 27120 40680 81360 157999 315998 473997 631996 789995 947994 1263992 1421991 1579990 1895988 2369985 2527984 2843982 3159980 3791976 4739970 5687964 6319960 7109955 7583952 9479940 11375928 12639920 14219910 17853887 18959880 22751856 28439820 35707774 37919760 53561661 56879640 71415548 89269435 107123322 113759280 142831096 160684983 178538870 214246644 267808305 285662192 321369966 357077740 428493288 535616610 642739932 714155480 803424915 856986576 1071233220 1285479864 1428310960 1606849830 2142466440 2570959728 3213699660 4284932880 6427399320 12854798640